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22161393100 = 22527113598017
BaseRepresentation
bin10100101000111011…
…000000010111001100
32010012110120102012001
4110220323000113030
5330341304034400
614103015322044
71413115506340
oct245073002714
963173512161
1022161393100
11944258a710
124365980324
13212240c872
141103393620
1589a8ada6a
hex528ec05cc

22161393100 has 144 divisors (see below), whose sum is σ = 60131151360. Its totient is φ = 6887347200.

The previous prime is 22161393031. The next prime is 22161393157. The reversal of 22161393100 is 139316122.

It is a super-2 number, since 2×221613931002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2760292 + ... + 2768308.

It is an arithmetic number, because the mean of its divisors is an integer number (417577440).

Almost surely, 222161393100 is an apocalyptic number.

22161393100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22161393100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30065575680).

22161393100 is an abundant number, since it is smaller than the sum of its proper divisors (37969758260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22161393100 is a wasteful number, since it uses less digits than its factorization.

22161393100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 22161393100 in words is "twenty-two billion, one hundred sixty-one million, three hundred ninety-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 359 385 550 700 718 770 1100 1436 1540 1795 1925 2513 3590 3850 3949 5026 7180 7700 7898 8017 8975 10052 12565 15796 16034 17950 19745 25130 27643 32068 35900 39490 40085 50260 55286 56119 62825 78980 80170 88187 98725 110572 112238 125650 138215 160340 176374 197450 200425 224476 251300 276430 280595 352748 394900 400850 440935 552860 561190 617309 691075 801700 881870 1122380 1234618 1382150 1402975 1763740 2204675 2469236 2764300 2805950 2878103 3086545 4409350 5611900 5756206 6173090 8818700 11512412 12346180 14390515 15432725 20146721 28781030 30865450 31659133 40293442 57562060 61730900 63318266 71952575 80586884 100733605 126636532 143905150 158295665 201467210 221613931 287810300 316591330 402934420 443227862 503668025 633182660 791478325 886455724 1007336050 1108069655 1582956650 2014672100 2216139310 3165913300 4432278620 5540348275 11080696550 22161393100